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101041212040 = 23510125010201
BaseRepresentation
bin101111000011010000…
…1101000101010001000
3100122210201212101122121
41132012201220222020
53123413022241130
6114230115501024
710204616063056
oct1360641505210
9318721771577
10101041212040
113994014811a
12176ba5b7774
1396b3449042
144c674591d6
15296585bd7a
hex1786868a88

101041212040 has 32 divisors (see below), whose sum is σ = 229593654360. Its totient is φ = 40016320000.

The previous prime is 101041212037. The next prime is 101041212049. The reversal of 101041212040 is 40212140101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 96978679396 + 4062532644 = 311414^2 + 63738^2 .

It is not an unprimeable number, because it can be changed into a prime (101041212049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12501061 + ... + 12509140.

Almost surely, 2101041212040 is an apocalyptic number.

101041212040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101041212040 is an abundant number, since it is smaller than the sum of its proper divisors (128552442320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101041212040 is a wasteful number, since it uses less digits than its factorization.

101041212040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25010313 (or 25010309 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101041212040 its reverse (40212140101), we get a palindrome (141253352141).

It can be divided in two parts, 1010 and 41212040, that multiplied together give a square (41624160400 = 2040202).

The spelling of 101041212040 in words is "one hundred one billion, forty-one million, two hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 25010201 50020402 100040804 125051005 200081608 250102010 500204020 1000408040 2526030301 5052060602 10104121204 12630151505 20208242408 25260303010 50520606020 101041212040